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Lera25 [3.4K]
1 year ago
13

Simplify the trigonometric expression. sin4(α) − cos4(α) + cos2(α)

Mathematics
1 answer:
natulia [17]1 year ago
5 0

Answer:

sin²(α)

Step-by-step explanation:

sin⁴(α) − cos⁴(α) + cos²(α)

sin⁴(α) − cos²(α) (cos²(α) − 1)

sin⁴(α) − cos²(α) (-sin²(α))

sin⁴(α) + sin²(α) cos²(α)

sin²(α) (sin²(α) + cos²(α))

sin²(α) (1)

sin²(α)

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How much power is produced by a flashlight that has a voltage of 12 volts and a current of 6.5 × 10-2 amps?
Jlenok [28]

Answer:

0.78 Watts is correct answer.

Step-by-step explanation:

Formula:  

P=V*I  

=12*(6.5*10^-2)  

= 12*0.065  

=0.78 Watt.  

3 0
1 year ago
Read 2 more answers
A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are
kondor19780726 [428]

Answer: The number of different combinations of 2 vegetables are possible = 15 .

Step-by-step explanation:

In Mathematics , the number of combinations of selecting r values out of n values = ^nC_r=\dfrac{n!}{r!(n-r)!}

Given : Number of available vegetables = 6

Then, the number of different combinations of 2 vegetables are possible will be :

^6C_2=\dfrac{6!}{2!(6-2)!}=\dfrac{6\times5\times4!}{2\times4!}=15

Hence , the number of different combinations of 2 vegetables are possible = 15 .

5 0
1 year ago
You are having a pizza-making party. You will need 6 ounces of dough and 4 ounces of sauce for each person at the party (includi
Tcecarenko [31]

Answer:

78 ounces of dough

52 ounces of sauce

12 guests are coming (not including you)

Step-by-step explanation:

13x6=78

13x4=52

78+52=130 ounces

6 0
1 year ago
Consider the graph of Bx + Cy = A where A, B, and C are all positive constants. Find the coordinates of the x-intercept. Use upp
timofeeve [1]
That is where the line crosses the x axis or where y=0
set y=0
Bx=A
find x value
divie both sides by B
x=A/B
the x intercept is x=A/B
3 0
1 year ago
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Find the surface area of the triangular prism. A triangular prism. The base is a right triangle with base 1 foot, height 2 feet
mylen [45]

Answer:

<h2>17.6ft²</h2>

Step-by-step explanation:

The formula for calculating the surface area of a triangular prism is expressed as shown below:

SA= bh + pH

b= base of the triangle

h- height of the triangle

p= perimeter of the triangle

H= height of the prism

Given b = 1foot

h = 2feet

perimeter of the triangle = sum of all its sides = 1ft + 2ft + 2.2ft

p = 5.2ft

H = 3ft

Substituting the values into the formula for finding the surface area:

SA = 1(2)+5.2(3)

SA = 2+15.6

SA = 17.6ft²

The surface area of the triangular prism is  17.6ft²

3 0
2 years ago
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